This is a very nitpicky question. As I see it, the 3 main concepts tested are:
Above the level of the brainstem (thalamus & cerebral cortex), you have second order sensory neurons. Lesions in this part of the circuit are not generally in trigeminal neuralgia. I suppose they also want us to assume that once the spinal tract of the trigeminal enters the medulla, it's not myelinated anymore. I don't think this is completely true, but given the logic described above, pons would still be the better answer.
As people have pointed out, the primary sensory fibers carrying light touch sensation from the face synapse on the chief sensory nucleus in the pons immediately after they enter the pons. This question is not asking about those fibers though.
I got the question wrong too..
eTh nmomecin I ilke for benimreemrg eht snailcoto of het ciaranl nrvees is eht 2,,,44"2 lreu"
Avboe rba=smteni CN I + d MirIIab=ni CN III, Ps=oVIn NC V, ,IV IVI, e=IIMVlldauI NC XI, X, I,X IIX
pecniPril eySnors Nuseluc of the mrilgiTean is elodcat in hte sn,oP sa is het oMtor aTilngreim cuueNsl of eht op.ns hisT aoerteptnnis si arpyolbb aidleng more thiw hte rinpeilPc soSrney lcNsuue.
hTe npso ash rnevse ,85- os eht tgierilanm uodlw be tedecaff hree
I od rtudasdnne atht het iacrnlipp cnueuls of teh tnrgliaiem enerv si caeltod at teh sopn. uBt nscei stih tpintae si gvnhia glrnmeiati raleunagi t'odwlnu oyu be nuidgsitpr hte wtyhapa ivldnvoe in pani and earp,teretmu hcihw ni iths csae ouldw eb teh sinpal eluscun leoatcd( ni eht lelua?md)
,seBedis I dfuon hist at an elaitrc
A ertcen stohsyhipe ttsaiubret hte npia fo airtimgnel uaerialgn to a eltacnr imhnamces invvoingl het pars aorils fo teh ipansl giemantrli ].[ule5csnu
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Per boards and beyond, in the lateral pons is there is the spinal V nucleus which carries contralateral pain and temperature. Knowing that + CN V arises it in the pons, I went with pons. The only other option I had left not crossed out was cerebral hemisphere but that seemed to broad.
theres an association made in 2017 with trigeminal neuralgia and MS - which is what i think this pt has. key thing to note is that while all motor and sensory fibers of CN 5 enter at the level fo the pons (however some also do enter at the level of medulla and even the sc via the spinal tract of 5 to synapse with the long sensory nucleus of 5) heres the link of trigeminal neuralgia and MS: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5649347/